Median

Arcsine distribution median.

The median for an arcsine random variable is

upper M e d i a n left-parenthesis upper X right-parenthesis equals one-half dot left-parenthesis a plus b right-parenthesis

where a is the minimum support and b is the maximum support.

Usage

var median = require( '@stdlib/math/base/dists/arcsine/median' );

median( a, b )

Returns the median of an arcsine distribution with parameters a (minimum support) and b (maximum support).

var v = median( 0.0, 1.0 );
// returns 0.5

v = median( 4.0, 12.0 );
// returns 8.0

v = median( 2.0, 8.0 );
// returns 5.0

If provided NaN as any argument, the function returns NaN.

var v = median( NaN, 2.0 );
// returns NaN

v = median( 2.0, NaN );
// returns NaN

If provided a >= b, the function returns NaN.

var y = median( 3.0, 2.0 );
// returns NaN

y = median( 3.0, 3.0 );
// returns NaN

Examples

var randu = require( '@stdlib/random/base/randu' );
var median = require( '@stdlib/math/base/dists/arcsine/median' );

var a;
var b;
var v;
var i;

for ( i = 0; i < 10; i++ ) {
    a = ( randu()*10.0 );
    b = ( randu()*10.0 ) + a;
    v = median( a, b );
    console.log( 'a: %d, b: %d, Median(X;a,b): %d', a.toFixed( 4 ), b.toFixed( 4 ), v.toFixed( 4 ) );
}